期刊
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
卷 69, 期 8, 页码 1532-1571出版社
WILEY
DOI: 10.1002/cpa.21583
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资金
- National Science Foundation [DMS1065964, 1159313, DMS1522869]
- NSFC [11128102]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1159313] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1501000] Funding Source: National Science Foundation
For any bounded smooth domain Omega subset of R-3 (or Omega = R-3), we establish the global existence of a weak solution (u, d) : Omega x [0, +infinity) -> R-3 x S-2 of the initial boundary value (or the Cauchy) problem of the simplified Ericksen-Leslie system (1.1) modeling the hydrodynamic flow of nematic liquid crystals for any initial and boundary (or Cauchy) data (u(0), d(0)) is an element of H x H-1 (Omega, S-2), with d(0) (Omega) subset of S-+(2) (the upper hemisphere). Furthermore, (u, d) satisfies the global energy inequality (1.4). (C) 2016 Wiley Periodicals, Inc.
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